Black holes, AdS, and CFTs
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This brief conference proceeding attempts to explain the implications of the anti-de Sitter/conformal field theory (AdS/CFT) correspondence for black hole entropy in a language accessible to relativists and other non-string theorists. The main conclusion is that the Bekenstein–Hawking entropy S BH is the density of states associated with certain superselections sectors, defined by what may be called the algebra of boundary observables. Interestingly while there is a valid context in which this result can be restated as “S BH counts all states inside the black hole,” there may also be another in which it may be restated as “S BH does not count all states inside the black hole, but only those that are distinguishable from the outside.” The arguments and conclusions represent the author’s translation of the community’s collective wisdom, combined with a few recent results.
KeywordsBlack hole entropy AdS/CFT
This work was supported in part by the US National Science Foundation under Grant No. PHY05-55669, and by funds from the University of California.
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
- Wheeler, J.A.: In: DeWitt, B.S., DeWitt, C.M. (eds.) Relativity, Groups, and Fields. Gordon and Breach, New York (1964)Google Scholar
- Maldacena, J.M.: The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2, 231 (1998) [Int. J. Theor. Phys. 38, 1113 (1999)][arXiv:hep-th/9711200]Google Scholar
- Hsu, S.D.H., Reeb, D.: Unitarity and the Hilbert space of quantum gravity. arXiv:0803.4212 [hep-th]Google Scholar
- Henningson, M., Skenderis, K.: The holographic Weyl anomaly. JHEP 9807, 023 (1998) [arXiv:hep-th/9806087]Google Scholar
- Fefferman, C., Graham, C.R.: Conformal Invariants. In: Elie Cartan et les Mathématiques d’aujourd’hui. (Astérisque, 1985) 95Google Scholar
- DeWitt, B.S.: In: DeWitt, B.S., Stora, R. (eds.) Relativity, Groups, and Topology II: Les Houches 1983. North-Holland, Amsterdam (1984)Google Scholar
- Marolf, D.: Unitarity and Holography in Gravitational Physics. arXiv:0808.2842 [gr-qc]Google Scholar
- Marolf, D.: Holographic Thought Experiments. arXiv:0808.2845 [gr-qc]Google Scholar
- Jacobson, T.: On the nature of black hole entropy. In: Burgess, C.P., Myers, R. (eds.) General Relativity and Relativistic Astrophysics, Eighth Canadian Conference, Montréal, Québec. AIP, Melville (1999). [arXiv:gr-qc/9908031]Google Scholar
- Iizuka, N., Polchinski, J.: A Matrix Model for Black Hole Thermalization. arXiv:0801.3657 [hep-th]Google Scholar
- Iizuka, N., Okuda, T., Polchinski, J.: Matrix Models for the Black Hole Information Paradox. arXiv:0808.0530 [hep-th]Google Scholar